Answer:
a) ω = 9.86 rad/s
b) ac = 194. 4 m/s²
c) minimum coefficient of static friction, µs = 19.8
Explanation:
a) angular speed, ω = 2πf, where f is frequency of revolution
1 rps = 6.283 rad/s, π = 3.142
ω = 2 * 3.14 * 0.25 * 6.28
ω = 9.86 rad/s
b) centripetal acceleration, a = rω²
where r is radius in meters; r = 200 cm or 2 m
a = 2 * 9.86²
a = 194. 4 m/s²
c) µs = frictional force/ normal force
frictional force = centripetal force = ma; where a is centripetal acceleration
normal force = mg; where g = 9.8 m/s²
µs = ma/mg = a/g
µs = 194.4 ms⁻²/9.8 ms⁻²
c) minimum coefficient of static friction, µs = 19.8
The addition of vectors involve both magnitude and direction. In this case, we make use of a triangle to visualize the problem. The length of two sides were given while the measure of the angle between the two sides can be derived. We then assign variables for each of the given quantities.
Let:
b = length of one side = 8 m
c = length of one side = 6 m
A = angle between b and c = 90°-25° = 75°
We then use the cosine law to find the length of the unknown side. The cosine law results to the formula: a^2 = b^2 + c^2 -2*b*c*cos(A). Substituting the values, we then have: a = sqrt[(8)^2 + (6)^2 -2(8)(6)cos(75°)]. Finally, we have a = 8.6691 m.
Next, we make use of the sine law to get the angle, B, which is opposite to the side B. The sine law results to the formula: sin(A)/a = sin(B)/b and consequently, sin(75)/8.6691 = sin(B)/8. We then get B = 63.0464°. However, the direction of the resultant vector is given by the angle Θ which is Θ = 90° - 63.0464° = 26.9536°.
In summary, the resultant vector has a magnitude of 8.6691 m and it makes an angle equal to 26.9536° with the x-axis.
<span>Answer: Burrhus Frederic Skinner's Operant Conditioning.
</span><span>B.F. Skinner believed that to understand behavior, in the best way, is to look at the root causes or reasons of an action and its outcomes.
</span>
Skinner proposes the Law of Effect-Reinforcement. Here,he differentiated the positively reinforced behavior or the strengthened behavior, the negatively reinforced behavior (removal of the unpleasant experience), and weakened behavior because of punishment.
<span>
In positive reinforcement, behavior is strengthened through providing an outcome, an effect that an individual finds rewarding. Negative reinforcement also strengthens behavior because the unpleasant experience was removed. Punishment on the other hand is an opposite to reinforcement. Instead of increasing the response, it eliminates it or weakens it.
</span>
Taking into account the definition of density, the volume of the metal block is 3 m³.
<h3>What is density</h3>
Density is defined as the property that matter, whether solid, liquid or gas, has to compress into a given space.
In other words, density is a quantity that allows us to measure the amount of mass in a certain volume of a substance.
Then, the expression for the calculation of density is the quotient between the mass of a body and the volume it occupies:
From this expression it can be deduced that density is inversely proportional to volume: the smaller the volume occupied by a given mass, the higher the density.
<h3>Volume of the metal block</h3>
In this case, you know that:
- Density= 5000
- Mass= 15000 kg
- Volume= ?
Replacing in the definition of density:
Solving:
volume×5000 = 15000 kg
volume= 
<u><em>volume= 3 m³</em></u>
In summary, the volume of the metal block is 3 m³.
Learn more about density:
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2) What must be connected for an electrical current to flow in a simple current?
<em>d.moving magnets,conductors, load to do work
</em>
here moving magnets will work as generator and conductors is used as connectors.
5)What is the purpose of a load in a circuit?
<em>c.provide resistance to keep the voltage strong
</em>
Load will provide the resistance to the circuit and help to build the voltage across it
6) What cause an electric current from a generator
<em>d.Magnets and conducting wires move near each other
</em>
here when magnets move near wires then it will induce the electric current and behaves like generators
7) What do all generators have in common
<em>b.they transform mechanical into electrical energy
</em>
They have magnets and rotating coils which will convert magnetic energy to electrical energy
8) How can we measure electrical current
<em>b.the pressure force is voltage;the # of electrons moving is amperes
</em>
this voltage and number of electrons will help to calculate current
